Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
47200z |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-8436106728200000000 = -1 · 29 · 58 · 596 |
Discriminant |
Eigenvalues |
2- -1 5- 2 1 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-271208,-149854088] |
[a1,a2,a3,a4,a6] |
j |
-11030693209160/42180533641 |
j-invariant |
L |
1.7217191574483 |
L(r)(E,1)/r! |
Ω |
0.095651064316891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47200n1 94400bd1 47200i1 |
Quadratic twists by: -4 8 5 |